What's a rule that could be used to simply the square of any square root of a number?

Step-by-step explanation:

The squaring function x^2 and the square root function √x are inverses of one another.  Because of this, the square of the square root of a number is the number itself:  [√x]^2; this is identical to √[ x^(1/2) ]^2 = x^(2/2) = x^1.

If we are given the square root of a number, then the number itself is the square of the given square root.

Example:  Given x with the info that x is the square root of a number, then the square of that x is x^2.

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